Rational And Irrational Numbers
Found 4 free book(s)Problem Set 2: Solutions Math 201A Fall 2016 Problem 1 ...
www.math.ucdavis.edu(b) Let AˆQ be any subset of the rational numbers with at least two elements. Choose x;y2Awith x6= y. The irrational numbers are dense in R, so there exists z2RnQ such that x<z<y. Let U= (1 ;z) \A; V = (z;1) \A: Then U, V are open sets in the relative topology on A. Moreover, x2U, y2V so U, V are nonempty, and U\V = ;, U[V = A. It
The Real Numbers and the Integers - University of Washington
sites.math.washington.edurepresentation. Real numbers include integers, positive and negative fractions, and irrational numbers like √ 2, π, and e. • Integer: An integer is a whole number (positive, negative, or zero). • Zero: The number zero is denoted by 0. • One: The number one is denoted by 1.
NUMBER SYSTEMS - National Institute of Open Schooling
nios.ac.inare all rational numbers. 1.3.1 Positive and Negative Rational Numbers (i) A rational number q p is said to be a positive rational number if p and q are both positive or both negative integers Thus 57 12, 6 8, 2 3, 6 5, 4 3 are all positive rationals. (ii) If the integes p and q are of different signs, then q p is said to be a negaive rational ...
EXPONENTS AND RADICALS - National Institute of Open …
www.nios.ac.inwhere x and y are natural numbers and a and b are integers; simplify expressions involving surds. EXPECTED BACKGROUND KNOWLEDGE Prime numbers Four fundamental operations on numbers Rational numbers Order relation in numbers. 2.1 EXPONENTIAL NOTATION Consider the following products: (i) 7 × 7 (ii) 3 × 3 × 3 (iii) 6 × 6 × 6 × 6 × 6